SOLUTION: What is the measure of each angle if second angle is three times the measure of the first angle. The third angle is four times the measure of the second angle. What is the measure

Question 1049243: What is the measure of each angle if second angle is three times the measure of the first angle. The third angle is four times the measure of the second angle. What is the measure of each angle.

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Makes no sense.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the measure of each angle if second angle is three times the measure of the first angle. The third angle is four times the measure of the second angle. What is the measure of each angle.
----
I assume the three angles are in the same triangle::
f + s + t = 180 degrees
s = 3f
t = 4s
------
Substitute and solve for "s"::
(1/3)s + s + 4s = 180
-------
s + 3s + 12s = 540
16s = 540
s = 33.75 degrees (2nd angle)
f = (1/3)(33.75) = 11.25 degrees (first angle)
t = 4s = 4*33.75 = 135 degrees
---------------------
Cheers,
Stan H.
------------
RELATED QUESTIONS
The sum of the angles of a triangle is 180. The second angle is three times the measure... (answered by ikleyn)
in a triangle the measure of the first angle is three times the measure of the second... (answered by checkley79)
In a triangle the measure of the first angle is three times the measure of the second... (answered by cleomenius)
In a triangle, one angle is three times the measure of the second angle. The third angle (answered by stanbon)
In a triangle, the measure of the first angle is twice the measure of the second angle.... (answered by mathchemprofessor)
In a triangle, the measure of the first angle is 4 times the measure of the second angle. (answered by TimothyLamb,MathTherapy)
the measure of the second angle of a triangle three times the measure of the first and... (answered by rfer)
The first angle of a triangle is three times the measure of the third angle. The second... (answered by stanbon)
find the measure of each angle of a triangle if the second angle is twice as large as the (answered by rfer)